434117615423021 has 16 divisors (see below), whose sum is σ = 444896601004800. Its totient is φ = 423478186560000.

The previous prime is 434117615422979. The next prime is 434117615423029. The reversal of 434117615423021 is 120324516711434.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-434117615423021 is a prime.

It is a super-3 number, since 3×434117615423021³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434117615423029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14835980 + ... + 32990021.

It is an arithmetic number, because the mean of its divisors is an integer number (27806037562800).

Almost surely, 2^{434117615423021} is an apocalyptic number.

It is an amenable number.

434117615423021 is a deficient number, since it is larger than the sum of its proper divisors (10778985581779).

434117615423021 is a wasteful number, since it uses less digits than its factorization.

434117615423021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47827460.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 434117615423021 in words is "four hundred thirty-four trillion, one hundred seventeen billion, six hundred fifteen million, four hundred twenty-three thousand, twenty-one".